Precal work yooo

Question

1. Mrs. Freeman is trying to determine if her new desk will fit through her classroom door. Her desk is 59 inches wide. She knows that the height of the door is 80 inches and the diagonal measure of the door is 100 inches. Determine the width of her door and whether or not her new desk will . Justify your conclusion .

Answer 1

W=59

H=80

D=100

Width of the door squared = 100^2 -80^2

width = sqr(100^2 -80^2) = 10sqr(10^-8^2) =10sqr36 = 60 inches wide

width of the desk is less than the width of the door by an inch